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a=cat,b=hat,i=1997,x=0.7643927480995454,y=0.17816043420320515,x2=0.584296273347175,xy=0.13618454390319623,y2=0.03174114031547459
a=dog,b=wye,i=1998,x=0.544898947312341,y=0.9687310115367199,x2=0.2969148627820974,xy=0.527860508415178,y2=0.9384397727129565
a=hat,b=dog,i=1999,x=0.010819574860139292,y=0.8983779455002124,x2=0.00011706320015415817,xy=0.009720067434037685,y2=0.8070829329611827
a=wye,b=cat,i=2000,x=0.10887569736363611,y=0.3480524315645718,x2=0.01185391747641808,xy=0.037894451205701986,y2=0.12114049511801092